Q: What are the prime factors of the number 8,055,552?

 A: 2, 3, 17, 617

Why are those the prime factors of the number 8,055,552?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 8,055,552

8,055,552
Factor Arrows
24,027,776
Factor Arrows
22,013,888
Factor Arrows
21,006,944
Factor Arrows
2503,472
Factor Arrows
2251,736
Factor Arrows
2125,868
Factor Arrows
262,934
Factor Arrows
231,467
Factor Arrows
310,489
Factor Arrows
17617

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 17, 617

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 17 x 617 = 8,055,552

This can also be written as 28 x 31 x 171 x 6171 = 8,055,552

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,055,552:


Ask a Question